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Suppose the radius is r and the bearings of the two points, P and Q are p and q respectively.
Then
the coordinates of P are [r*cos(p), r*sin(p)] and
the coordinates of Q are [r*cos(q), r*sin(q)].
The distance between these two points can be found, using Pythagoras:
d2 = (xq - xp)2 + (yq - yp)2
where xp is the x-coordinate of P, etc.
What else can I help you with?
Can the radius of curvature for the curve be infinity?
Yes, the radius of curvature of a curve can be infinite. This occurs at points where the curve is straight, meaning there is no curvature at that point. For example, a straight line has an infinite radius of curvature because it does not bend. In mathematical terms, a curve with a constant slope (like a linear function) will have an infinite radius of curvature throughout its length.
Is circumference a chord?
Not at all! The circumference is the length of the boundary of a circle. A chord is a straight line(or a line segment) that passes through two points on the boundary of a circle (or on a curve).
What is the radius of curvature?
The radius of curvature of a circle, or an arc of a circle is the same as the radius of the circle.For a curve (other than a circle) the radius of curvature at a given point is obtained by finding a circular arc that best fits the curve around that point. The radius of that arc is the radius of curvature for the curve at that point.The radius of curvature for a straight line is infinite.
A Koch curve has length?
A Koch curve has INFINITE length.
What is meant by radius of curvature?
The radius of curvature is a measure of how sharply a curve bends at a particular point. It is defined as the radius of the circular arc that best approximates the curve at that point. A smaller radius indicates a sharper curve, while a larger radius denotes a gentler bend. This concept is commonly used in geometry, physics, and engineering to analyze the behavior of curves in various applications.
Formula of radious given curve length and chord length?
R = radius c = chord length s = curve length c = 2Rsin(s/2R) you can solve for radius by trial and error as this is a transcendental equation
How get degree of curvature?
First, divide 180 by pi (3.14159).Multiply that answer by 100.You should have approximately 5729.5779514.This result we will refer to as the Circular Ratio.Divide the Circular Ratio by the Radius of the curve.The answer is The Degree Of Curvature for that curve.Graphically: measure the angle it takes to make a curve 100 feet long.That angle is The Degree Of Curvature for that curve.
Is a point the chord of a circle?
No, it is not. A chord is a line segment. It cannot have a length of zero. A point has no dimensions. The chord of a circle is a line segment that has its endpoints (both of them) on the curve (or circumference) of the circle.
Can the radius of curvature for the curve be infinity?
Yes, the radius of curvature of a curve can be infinite. This occurs at points where the curve is straight, meaning there is no curvature at that point. For example, a straight line has an infinite radius of curvature because it does not bend. In mathematical terms, a curve with a constant slope (like a linear function) will have an infinite radius of curvature throughout its length.
Is circumference a chord?
Not at all! The circumference is the length of the boundary of a circle. A chord is a straight line(or a line segment) that passes through two points on the boundary of a circle (or on a curve).
How do you find the surface area of a shoe?
Treat the sole as a rectangle. measure length and width. If there is a curve, estimate center of curvature. measure radius. measure length of curve in arc lengths. Determine number of radians. use formula for cylinder, replacing 2 (pi) with number of radians. Subtract length of shoe by the length of curve in the sole. Calculate area
Is a descending curve when driving one where the radius of the curve gets smaller as you progress through it?
No, a descending curve typically refers to a curve where the road slopes downward, rather than one where the radius decreases. In driving terms, a descending curve can mean you're navigating a curve that leads downhill, but the radius can remain constant or even increase depending on the design of the road. A curve with a decreasing radius is referred to as a "tightening curve."
Is a straight line a curve?
Technically yes; a curve with infinite radius.Technically yes; a curve with infinite radius.Technically yes; a curve with infinite radius.Technically yes; a curve with infinite radius.
How do you find the radius of an arc using only the rise and arc length?
1. Chord length and rise: Three points determine a circle, so if you measure the distance between two points on the circle, then go perpendicular to that line from the center of the line and measure the distance to the third point on the circle, you can calculate the radius. If the first distance is 2*a (divide it by 2 to get a), and the second distance is b, the rise of the arc 2*a Then the radius is r = (a^2 + b^2)/(2b). - Pythagoras Theorem I calculated this by putting the intersection of the chord and line at (0,0) and plotting your three points as, (-a, 0), (a, 0), and (0, b). And then plugging those into the general form of the equation for a circle, namely (x - h)^2 + (y - k)^2 = r^2. I got h = 0, k = (b^2 - a^2)/(2b), and r = (a^2 + b^2)/(2b). You could use this technique. If you don't have the length a (or 2a) but you have the length of the curved side (arc length, say c) (This is what you asked - Radius from Arc length and rise) then you have a much harder equation to solve for r: 2br = (sin [c/(2r)])^2 + b^2. But be warned that these computations assume that your curve is a portion of a circle. If it is some other curve, then there is no radius.
What is the radius of curvature?
The radius of curvature of a circle, or an arc of a circle is the same as the radius of the circle.For a curve (other than a circle) the radius of curvature at a given point is obtained by finding a circular arc that best fits the curve around that point. The radius of that arc is the radius of curvature for the curve at that point.The radius of curvature for a straight line is infinite.
What is the difference between an arc and a chord?
If you take two distinct points on a curve, the arc is the part of the curve connecting the two points while the chord is the straight line connecting them.
A Koch curve has length?
A Koch curve has INFINITE length.
